Question

If 5x+4y=17 and 4x +5y=19 then what is the value
Of X+Y=?​

Answer 1

Answer:

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Step-by-step explanation:

5x+4y-17=0————(i)

4x+5y‐19=0————(ii)

(i)×4—–20x+16y-68=0——–(iii)

(ii)×5—–20x+25y-95=0———(iv)

(iii)‐(iv),we get

20x+16y‐68-20x-25y+95=0

-4y+27=0

-4y=‐27

y=27/4

putting the value of y=27/4 in equation (i)

5x+4×27/4-17=0

5x+27-17=0

5x+10=0

5x=‐10

x=‐2

x+y=27/4+(‐2)

=27/4-2

=(27-8)/4

=21/4